Stable, finite energy density solutions in the effective theory of\n non-abelian gauge fields

2017/06/12 by Rajdeep Basak, Basak, Rajdeep, Krishnendu Mukherjee +1
Physics and Astronomy · #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #High-Energy Particle Collisions Research #Quantum Chromodynamics and Particle Interactions

paper · pdf · doi:10.48550/arxiv.1706.03600

openalex publication_date 2017/06/12 · openalex created_date 2022/10/06 · openalex updated_date 2026/07/28

Abstract

We consider the gauge fixed partition function of pure SU(N_c) gauge theory\nin axial gauge following the Halpern's field strength formalism. We integrate\nover 3 (N_c²-1) field strengths using the Bianchi identities and obtain an\neffective action of the remaining 3 (N_c²-1) field strengths in momentum\nspace. We obtain the static solutions of the equations of motion (EOM) of the\neffective theory. The solutions exhibit Gaussian nature in the z component of\nmomentum and are proportional to the delta functions of the remaining\ncomponents of momentum. The solutions render a finite energy density of the\nsystem and the parameters are found to be proportional to fourth root of the\ngluon condensate. It indicates that the solutions offer a natural mass scale in\nthe low energy phase of the theory.\n

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